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Finding the Fourth Proportional to 7,774.80, 11,659.29 and 2,508.48

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Solution

The fourth proportional to 7,774.80, 11,659.29 and 2,508.48 is: 3,761.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,774.80 : 11,659.29 = 2,508.48 : x
  2. Step 2: Convert to fraction form
    7,774.80/11,659.29 = 2,508.48/x
  3. Step 3: Cross multiply
    7,774.80x = 11,659.29 × 2,508.48
  4. Step 4: Simplify right side
    7,774.80x = 29,247,095.78
  5. Step 5: Solve for x
    x = 29,247,095.78/7,774.80
  6. Step 6: Final answer
    x = 3,761.78

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.